- If the error in the measurement of radius is \(2\%\) , then the error in the determination of volume of the sphere will be
a) \(8\%\) b) \(2\%\) c) \(4\%\) d) \(6\%\)
- If the length and time period of an oscillating pendulum have errors of \(1\%\) and \(3\%\) respectively then the error in measurement of acceleration due to gravity is
a) \(4\%\) b) \(5\%\) c) \(6\%\) d) \(7\%\)
- The length of a body is measured as \(3.51\mathrm{m}\) , if the accuracy is \(0.01\mathrm{m}\) , then the percentage error in the measurement is
a) \(351\%\) b) \(1\%\) c) \(0.28\%\) d) \(0.035\%\)
- Which of the following has the highest number of significant figures?
a) \(0.007\mathrm{m}^2\) b) \(2.64\times 10^{24}\mathrm{kg}\) c) \(0.0006032\mathrm{m}^2\) d) \(6.3200\mathrm{J}\)
- If \(\pi = 3.14\) , then the value of \(\pi^2\) is
a) 9.8596 b) 9.860 c) 9.86 d) 9.9
- Round of the following number 19.95 into three significant figures.
a) 19.9 b) 20.0 c) 20.1 d) 19.5
- Which of the following pairs of physical quantities have same dimension?
a) force and power b) torque and energy c) torque and power d) force and torque
- The dimensional formula of Planck’s constant h is [JEE Main, NEET]
a) [MLT⁻¹] b) [MLT⁻³] c) [ML²T⁻¹] d) [MLT⁻³]
- The velocity of a particle \(\nu\) at an instant t is given by \(\nu = at + bt^2\) . The dimensions of \(b\) is
a) [L] b) [LT⁻¹] c) [LT⁻²] d) [LT⁻³]
- The dimensional formula for gravitational constant \(G\) is
a) [MLT⁻²] b) [M⁻¹L³T⁻²] c) [M⁻¹L²T⁻²] d) [ML⁻³T⁻²]
The density of a material in CGS system of units is \(4\mathrm{gcm}^{-3}\) . In a system of units in which unit of length is \(10\mathrm{cm}\) and unit of mass is \(100\mathrm{g}\) , then the value of density of material will be a) 0.04 b) 0.4 c) 40 d) 400
If the force is proportional to square of velocity, then the dimension of proportionality constant is [JEE-2000]
a) [MLT] b) [MLT⁻¹] c) [ML⁻²T] d) [ML⁻¹T]
- The dimension of \((\mu_0\epsilon_0)^{-\frac{1}{2}}\) is [Main AIPMT 2011]
(a) length (b) time (c) velocity (d) force
- Planck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are taken as three fundamental constants. Which of the following combinations of these has the dimension of length? [NEET 2016 (phase II)]